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206314145312220 = 2232511175959237671
BaseRepresentation
bin101110111010010001000001…
…010101111110110111011100
31000001111102212111222221200100
4232322101001111332313130
5204020222332144442340
62010443224312501100
761312463565033561
oct5672210125766734
91001442774887610
10206314145312220
115a813379480480
121b1810919aa790
138b17456ba66ba
1438d392d456868
1518cba8746e830
hexbba44157eddc

206314145312220 has 144 divisors (see below), whose sum is σ = 683100399421440. Its totient is φ = 49987115452800.

The previous prime is 206314145312153. The next prime is 206314145312243. The reversal of 206314145312220 is 22213541413602.

It is a happy number.

206314145312220 is a `hidden beast` number, since 2 + 0 + 6 + 3 + 1 + 414 + 5 + 3 + 12 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26136016 + ... + 33101655.

It is an arithmetic number, because the mean of its divisors is an integer number (4743752773760).

Almost surely, 2206314145312220 is an apocalyptic number.

206314145312220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206314145312220 is an abundant number, since it is smaller than the sum of its proper divisors (476786254109220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

206314145312220 is a wasteful number, since it uses less digits than its factorization.

206314145312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59239456 (or 59239451 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 206314145312220 its reverse (22213541413602), we get a palindrome (228527686725822).

The spelling of 206314145312220 in words is "two hundred six trillion, three hundred fourteen billion, one hundred forty-five million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1759 1980 3518 5277 7036 8795 10554 15831 17590 19349 21108 26385 31662 35180 38698 52770 58047 63324 77396 79155 96745 105540 116094 158310 174141 193490 232188 290235 316620 348282 386980 580470 696564 870705 1160940 1741410 3482820 59237671 118475342 177713013 236950684 296188355 355426026 533139039 592376710 651614381 710852052 888565065 1066278078 1184753420 1303228762 1777130130 1954843143 2132556156 2606457524 2665695195 3258071905 3554260260 3909686286 5331390390 5864529429 6516143810 7819372572 9774215715 10662780780 11729058858 13032287620 19548431430 23458117716 29322647145 39096862860 58645294290 104199063289 117290588580 208398126578 312597189867 416796253156 520995316445 625194379734 937791569601 1041990632890 1146189696179 1250388759468 1562985949335 1875583139202 2083981265780 2292379392358 3125971898670 3438569088537 3751166278404 4584758784716 4688957848005 5730948480895 6251943797340 6877138177074 9377915696010 10315707265611 11461896961790 13754276354148 17192845442685 18755831392020 20631414531222 22923793923580 34385690885370 41262829062444 51578536328055 68771381770740 103157072656110 206314145312220